Question

choose the difference that is less than 8.
$8\frac{2}{5} - \frac{4}{5}$
find the difference. write your answer as a mixed number.
$8\frac{2}{5} - \frac{4}{5} = \boxed{?} \frac{\boxed{?}}{\boxed{?}}$

Explanation:

Step1: Subtract the fractions

The mixed number is \(8\frac{2}{5}\) and we subtract \(\frac{4}{5}\). First, look at the fractional parts: \(\frac{2}{5}-\frac{4}{5}\). Since \(\frac{2}{5}<\frac{4}{5}\), we need to borrow 1 from the whole number part. 1 is equal to \(\frac{5}{5}\), so \(8\frac{2}{5}\) becomes \(7 + 1+\frac{2}{5}=7+\frac{5}{5}+\frac{2}{5}=7\frac{7}{5}\).

Step2: Perform the subtraction

Now subtract the fractions: \(\frac{7}{5}-\frac{4}{5}=\frac{3}{5}\), and the whole number part remains 7. So \(8\frac{2}{5}-\frac{4}{5}=7\frac{3}{5}\).

Answer:

The mixed number is \(7\frac{3}{5}\), so the whole number part is 7, the numerator of the fraction is 3, and the denominator is 5. So filling in the boxes: the first box (whole number) is 7, the numerator box is 3, and the denominator box is 5. (In the format of the problem, the first "?" is \(7\frac{3}{5}\) broken into whole number 7, numerator 3, denominator 5. So the answer for the subtraction is \(7\frac{3}{5}\), with whole number 7, numerator 3, denominator 5.)